Family Information
Genus: | $7$ |
Quotient genus: | $0$ |
Group name: | $C_{10}$ |
Group identifier: | $[10,2]$ |
Signature: | $[ 0; 2, 2, 2, 5, 10 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 5, 9$ |
Jacobian variety group algebra decomposition: | $E\times A_{6}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,6) (2,7) (3,8) (4,9) (5,10) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x^{15}+a_{1}x^{10}+a_{2}x^{5}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.10-2.0.2-2-2-5-10.3.1
(1,6) (2,7) (3,8) (4,9) (5,10) | |
(1,6) (2,7) (3,8) (4,9) (5,10) | |
(1,6) (2,7) (3,8) (4,9) (5,10) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,8,5,7,4,6,3,10,2,9) |